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Definition df-0r 6874
Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126. (Contributed by NM, 9-Aug-1995.)
Assertion
Ref Expression
df-0r 0R = [⟨1P, 1P⟩] ~R

Detailed syntax breakdown of Definition df-0r
StepHypRef Expression
1 c0r 6454 . 2 class 0R
2 c1p 6448 . . . 4 class 1P
32, 2cop 3406 . . 3 class ⟨1P, 1P
4 cer 6452 . . 3 class ~R
53, 4cec 6135 . 2 class [⟨1P, 1P⟩] ~R
61, 5wceq 1259 1 wff 0R = [⟨1P, 1P⟩] ~R
Colors of variables: wff set class
This definition is referenced by:  gt0srpr  6891  0r  6893  m1p1sr  6903  0lt1sr  6908  0idsr  6910  00sr  6912  pitoregt0  6983
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